Answer:
Step-by-step explanation:
Going from (1, -2) to (3,6), x increases by 2 and y increases by 8. Thus, the slope m of this line is m = rise / run = 8/2 = 4.
I think you meant, "What is the EQUATION of the line that passes through the point (-1, 1) and is parallel to a line that passes through
(3, 6) and (1, -2)? We have seen that this slope is -4.
Starting with the point-slope equation of a line, we have:
y - 6 = -4(x - 3)
Let x be the length of the train.
On the basis of the observer;
Speed of the train = x/6
On the basis of the bridge;
Total distance covered by any point of the train= 350+x
Speed = (350+x)/20
Equating the two expressions of speed;
x/6 = (350+x)/20
20(x) = 6(350+x)
20x = 2100+6x
(20-6)x = 2100
14x = 2100
x= 2100/14 = 150 m
Speed = x/6 = (350+x)/20 = 150/6 = 500/20 = 25 m/s.
Therefore,
Length of train = 150 m
Speed of train = 25 m/s
Answer:
g(f(x)) = 6x - 9
Step-by-step explanation:
To find g(f(x)), substitute x = f(x) into g(x) , that is
g(3x - 5)
= 2(3x - 5) + 1 ← distribute parenthesis and simplify
= 6x - 10 + 1
= 6x - 9
32 times 24 is $768 which us how much they spent
